Breakdown of Smoothness for the Muskat Problem
Author(s): Castro, Angel; Cordoba, Diego; Fefferman, Charles L.; Gancedo, Francisco
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http://arks.princeton.edu/ark:/88435/pr1vr0p| Abstract: | In this paper we show that there exists analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down, that is, no longer belongs to C (4). |
| Publication Date: | Jun-2013 |
| Electronic Publication Date: | 6-Apr-2013 |
| Citation: | Castro, Angel, Cordoba, Diego, Fefferman, Charles, Gancedo, Francisco. (2013). Breakdown of Smoothness for the Muskat Problem. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 208 (805 - 909). doi:10.1007/s00205-013-0616-x |
| DOI: | doi:10.1007/s00205-013-0616-x |
| ISSN: | 0003-9527 |
| Pages: | 805 - 909 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS |
| Version: | Author's manuscript |
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